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  <div class="headertitle"><div class="title">PolynomialKernel.h</div></div>
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<a href="_polynomial_kernel_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno">    1</span><span class="comment">//===========================================================================</span><span class="comment"></span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno">    2</span><span class="comment">/*!</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno">    3</span><span class="comment"> * </span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno">    4</span><span class="comment"> *</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno">    5</span><span class="comment"> * \brief       Polynomial kernel.</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno">    6</span><span class="comment"> * </span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno">    7</span><span class="comment"> * </span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno">    8</span><span class="comment"> *</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno">    9</span><span class="comment"> * \author      T.Glasmachers</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno">   10</span><span class="comment"> * \date        2011</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno">   11</span><span class="comment"> *</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno">   12</span><span class="comment"> *</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno">   13</span><span class="comment"> * \par Copyright 1995-2017 Shark Development Team</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno">   14</span><span class="comment"> * </span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno">   15</span><span class="comment"> * &lt;BR&gt;&lt;HR&gt;</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno">   16</span><span class="comment"> * This file is part of Shark.</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno">   17</span><span class="comment"> * &lt;https://shark-ml.github.io/Shark/&gt;</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno">   18</span><span class="comment"> * </span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno">   19</span><span class="comment"> * Shark is free software: you can redistribute it and/or modify</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno">   20</span><span class="comment"> * it under the terms of the GNU Lesser General Public License as published </span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno">   21</span><span class="comment"> * by the Free Software Foundation, either version 3 of the License, or</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno">   22</span><span class="comment"> * (at your option) any later version.</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno">   23</span><span class="comment"> * </span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno">   24</span><span class="comment"> * Shark is distributed in the hope that it will be useful,</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span><span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno">   26</span><span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span><span class="comment"> * GNU Lesser General Public License for more details.</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span><span class="comment"> * </span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span><span class="comment"> * You should have received a copy of the GNU Lesser General Public License</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span><span class="comment"> * along with Shark.  If not, see &lt;http://www.gnu.org/licenses/&gt;.</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span><span class="comment"> *</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span><span class="comment"> */</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span><span class="comment">//===========================================================================</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span> </div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span><span class="preprocessor">#ifndef SHARK_MODELS_KERNELS_POLYNOMIAL_KERNEL_H</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span><span class="preprocessor">#define SHARK_MODELS_KERNELS_POLYNOMIAL_KERNEL_H</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span><span class="preprocessor">#include &lt;<a class="code" href="_abstract_kernel_function_8h.html" title="abstract super class of all kernel functions">shark/Models/Kernels/AbstractKernelFunction.h</a>&gt;</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span> </div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceshark.html" title="AbstractMultiObjectiveOptimizer.">shark</a> {</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span> </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span><span class="comment"></span> </div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span><span class="comment">/// \brief Polynomial kernel.</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span><span class="comment">///</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span><span class="comment">/// \par</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span><span class="comment">/// The polynomial kernel is defined as</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span><span class="comment">/// \f$ \left( \left\langle x_1, x_2 \right\rangle + b \right)^n \f$</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span><span class="comment">/// with degree \f$ n \in \mathbb{N} \f$ and non-negative offset</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span><span class="comment">/// \f$ b \geq 0 \f$. For n=1 and b=0 it matches the linear kernel</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span><span class="comment">/// (standard inner product).</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span><span class="comment">/// \ingroup kernels</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span><span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">class</span> InputType = RealVector&gt;</div>
<div class="foldopen" id="foldopen00053" data-start="{" data-end="};">
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html">   53</a></span><span class="keyword">class </span><a class="code hl_class" href="classshark_1_1_polynomial_kernel.html" title="Polynomial kernel.">PolynomialKernel</a> : <span class="keyword">public</span> <a class="code hl_class" href="classshark_1_1_abstract_kernel_function.html" title="Base class of all Kernel functions.">AbstractKernelFunction</a>&lt;InputType&gt;</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span>{</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span><span class="keyword">private</span>:</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span>    <span class="keyword">typedef</span> <a class="code hl_class" href="classshark_1_1_abstract_kernel_function.html" title="Base class of all Kernel functions.">AbstractKernelFunction&lt;InputType&gt;</a> <a class="code hl_class" href="classshark_1_1_abstract_kernel_function.html">base_type</a>;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span>    </div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span>    <span class="keyword">struct </span>InternalState: <span class="keyword">public</span> <a class="code hl_struct" href="structshark_1_1_state.html" title="Represents the State of an Object.">State</a>{</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>        RealMatrix base;<span class="comment">//stores the inner product of vectors x_1,x_j</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span>        RealMatrix exponentedProd;<span class="comment">//pow(innerProd,m_exponent)</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span>        </div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>        <span class="keywordtype">void</span> resize(std::size_t sizeX1, std::size_t sizeX2){</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span>            base.resize(sizeX1, sizeX2);</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span>            exponentedProd.resize(sizeX1, sizeX2);</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span>        }</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>    };</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span><span class="keyword">public</span>:</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a7e8c12320edf40b81320d4c1eb64ee25">   68</a></span>    <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code hl_typedef" href="classshark_1_1_abstract_kernel_function.html#adbf700c2ece7236c70cef4b88777a733" title="batch input type of the kernel">base_type::BatchInputType</a> <a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#a7e8c12320edf40b81320d4c1eb64ee25">BatchInputType</a>;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#acf26392888405951b6d965b14d98b8aa">   69</a></span>    <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code hl_typedef" href="classshark_1_1_abstract_kernel_function.html#a40e365cb5ec7d2776105a4aef4e78df3" title="Const references to InputType.">base_type::ConstInputReference</a> <a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#acf26392888405951b6d965b14d98b8aa">ConstInputReference</a>;</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a0d2eaf940ab632809186774d1ccccfef">   70</a></span>    <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code hl_typedef" href="classshark_1_1_abstract_kernel_function.html#af923f26f3d015156bb5ac159b302311b" title="Const references to BatchInputType.">base_type::ConstBatchInputReference</a> <a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#a0d2eaf940ab632809186774d1ccccfef">ConstBatchInputReference</a>;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span><span class="comment"></span> </div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span><span class="comment">    /// Constructor.</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span><span class="comment">    ///</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span><span class="comment">    /// \param  degree  exponent of the polynomial</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span><span class="comment">    /// \param  offset  constant added to the standard inner product</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span><span class="comment">    /// \param  degree_is_parameter should the degree be a regular model parameter? if yes, the kernel will not be differentiable</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span><span class="comment">    /// \param  unconstrained should the offset internally be represented as exponential of the externally visible parameter?</span></div>
<div class="foldopen" id="foldopen00078" data-start="{" data-end="}">
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a94c0a51488a514cccc7db38afce0cbe8">   78</a></span><span class="comment"></span>    <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#a94c0a51488a514cccc7db38afce0cbe8">PolynomialKernel</a>( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#ae963f3112a29486531d6da7fe74c1ef9">degree</a> = 2, <span class="keywordtype">double</span> offset = 0.0, <span class="keywordtype">bool</span> degree_is_parameter = <span class="keyword">true</span>, <span class="keywordtype">bool</span> unconstrained = <span class="keyword">false</span> )</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>    : <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a>( <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#ae963f3112a29486531d6da7fe74c1ef9">degree</a> ),</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>      <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a>( offset ),</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span>      <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a936f25c06c90446d740dcbcc730a269c" title="is the degree a model parameter?">m_degreeIsParam</a>( degree_is_parameter ),</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span>      <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a6877e2622378afb878f10bb20dee43f9" title="is the degree internally represented as exponential of the parameter?">m_unconstrained</a>( unconstrained ) {</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span>        <a class="code hl_define" href="_exception_8h.html#adce1f80097c69010f5eab2618fa2e971">SHARK_RUNTIME_CHECK</a>(<a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#ae963f3112a29486531d6da7fe74c1ef9">degree</a> &gt; 0, <span class="stringliteral">&quot;[PolynomialKernel::PolynomialKernel] degree must be positive&quot;</span>);</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span>        this-&gt;<a class="code hl_variable" href="classshark_1_1_abstract_kernel_function.html#aa13e9ab3b8bbad9e1d773468671703e6">m_features</a> |= <a class="code hl_enumvalue" href="classshark_1_1_abstract_kernel_function.html#af54c80ca837961761506e6c2eec15bdeae4bd575af084f862f64bc665cad4c4ec" title="is the kernel differentiable w.r.t. its inputs?">base_type::HAS_FIRST_INPUT_DERIVATIVE</a>;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span>        this-&gt;<a class="code hl_variable" href="classshark_1_1_abstract_kernel_function.html#aa13e9ab3b8bbad9e1d773468671703e6">m_features</a> |= <a class="code hl_enumvalue" href="classshark_1_1_abstract_kernel_function.html#af54c80ca837961761506e6c2eec15bdeae04fd78a7baf17b1591cdb6ef289e8d1" title="Input arguments must have same size, but not the same size in different calls to eval.">base_type::SUPPORTS_VARIABLE_INPUT_SIZE</a>;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span>          <span class="keywordflow">if</span> ( !<a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a936f25c06c90446d740dcbcc730a269c" title="is the degree a model parameter?">m_degreeIsParam</a> )</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span>            this-&gt;<a class="code hl_variable" href="classshark_1_1_abstract_kernel_function.html#aa13e9ab3b8bbad9e1d773468671703e6">m_features</a> |= <a class="code hl_enumvalue" href="classshark_1_1_abstract_kernel_function.html#af54c80ca837961761506e6c2eec15bdead621a9ae065d91a154055a38a7ea72f8" title="is the kernel differentiable w.r.t. its parameters?">base_type::HAS_FIRST_PARAMETER_DERIVATIVE</a>;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span>    }</div>
</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span><span class="comment"></span> </div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span><span class="comment">    /// \brief From INameable: return the class name.</span></div>
<div class="foldopen" id="foldopen00091" data-start="{" data-end="}">
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a746e5af7a23ff497372a98f3c61d1166">   91</a></span><span class="comment"></span>    std::string <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#a746e5af7a23ff497372a98f3c61d1166" title="From INameable: return the class name.">name</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span><span class="keyword">    </span>{ <span class="keywordflow">return</span> <span class="stringliteral">&quot;PolynomialKernel&quot;</span>; }</div>
</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span>    </div>
<div class="foldopen" id="foldopen00094" data-start="{" data-end="}">
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a463c3e68ff0aca75d70a3d4e6d300c1f">   94</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#a463c3e68ff0aca75d70a3d4e6d300c1f">setDegree</a>( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> deg ) {</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span>        <a class="code hl_define" href="_exception_8h.html#abd848215f138fc44f696aecb3e417e6c">RANGE_CHECK</a>( deg &gt; 0 );</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span>        <a class="code hl_define" href="_exception_8h.html#adce1f80097c69010f5eab2618fa2e971">SHARK_RUNTIME_CHECK</a>( !<a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a936f25c06c90446d740dcbcc730a269c" title="is the degree a model parameter?">m_degreeIsParam</a>, <span class="stringliteral">&quot;[PolynomialKernel::setDegree] Please use setParameterVector when the degree is a parameter.&quot;</span>);</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>        <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a> = deg;</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>    }</div>
</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>    </div>
<div class="foldopen" id="foldopen00100" data-start="{" data-end="}">
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#ae963f3112a29486531d6da7fe74c1ef9">  100</a></span>    <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#ae963f3112a29486531d6da7fe74c1ef9">degree</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>        <span class="keywordflow">return</span> <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a>;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>    }</div>
</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span> </div>
<div class="foldopen" id="foldopen00104" data-start="{" data-end="}">
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a55528a26a7ce6c6ed98bc8523cf98e5d">  104</a></span>    RealVector <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#a55528a26a7ce6c6ed98bc8523cf98e5d" title="Return the parameter vector.">parameterVector</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>        <span class="keywordflow">if</span> ( <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a936f25c06c90446d740dcbcc730a269c" title="is the degree a model parameter?">m_degreeIsParam</a> ) {</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>            RealVector ret(2);</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span>            ret(0) = <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a>;</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>            <span class="keywordflow">if</span> ( <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a6877e2622378afb878f10bb20dee43f9" title="is the degree internally represented as exponential of the parameter?">m_unconstrained</a> ) </div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>                ret(1) = std::log( <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a> );</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>            <span class="keywordflow">else</span> </div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>                ret(1) = <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a>;</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>            <span class="keywordflow">return</span> ret;</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>        } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>            RealVector ret(1);</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>            <span class="keywordflow">if</span> ( <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a6877e2622378afb878f10bb20dee43f9" title="is the degree internally represented as exponential of the parameter?">m_unconstrained</a> ) </div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>                ret(0) = std::log( <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a> );</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>            <span class="keywordflow">else</span> </div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>                ret(0) = <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a>;</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>            <span class="keywordflow">return</span> ret;</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>        }</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>    }</div>
</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span> </div>
<div class="foldopen" id="foldopen00123" data-start="{" data-end="}">
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a0a0077219b4d5eb9119151a53ff2a564">  123</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#a0a0077219b4d5eb9119151a53ff2a564" title="Set the parameter vector.">setParameterVector</a>(RealVector <span class="keyword">const</span>&amp; newParameters) {</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>        <span class="keywordflow">if</span> ( <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a936f25c06c90446d740dcbcc730a269c" title="is the degree a model parameter?">m_degreeIsParam</a> ) {</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>            <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(newParameters.size() == 2);</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>            <a class="code hl_define" href="_exception_8h.html#a73abb5049a0168d72a48e72dda41708b">SHARK_ASSERT</a>(std::abs((<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>)newParameters(0) - newParameters(0)) &lt;= 2*std::numeric_limits&lt;double&gt;::epsilon());</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>            <a class="code hl_define" href="_exception_8h.html#abd848215f138fc44f696aecb3e417e6c">RANGE_CHECK</a>(newParameters(0) &gt;= 1.0);</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>            <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a> = (<span class="keywordtype">unsigned</span> int)newParameters(0);</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>            <span class="keywordflow">if</span> ( <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a6877e2622378afb878f10bb20dee43f9" title="is the degree internally represented as exponential of the parameter?">m_unconstrained</a> ) {</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>                <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a> = std::exp(newParameters(1));</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>            } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>                <a class="code hl_define" href="_exception_8h.html#abd848215f138fc44f696aecb3e417e6c">RANGE_CHECK</a>(newParameters(1) &gt;= 0.0);</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>                <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a> = newParameters(1);</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>            }</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>        } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>            <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(newParameters.size() == 1);</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>            <span class="keywordflow">if</span> ( <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a6877e2622378afb878f10bb20dee43f9" title="is the degree internally represented as exponential of the parameter?">m_unconstrained</a> ) {</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span>                <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a> = std::exp(newParameters(0));</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>            } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>                <a class="code hl_define" href="_exception_8h.html#abd848215f138fc44f696aecb3e417e6c">RANGE_CHECK</a>(newParameters(0) &gt;= 0.0);</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>                <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a> = newParameters(0);</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>            }</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>        }</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span>    }</div>
</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span> </div>
<div class="foldopen" id="foldopen00146" data-start="{" data-end="}">
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a57bc80ed056336ce2c77c5c8b6e29b8e">  146</a></span>    std::size_t <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#a57bc80ed056336ce2c77c5c8b6e29b8e" title="Return the number of parameters.">numberOfParameters</a>()<span class="keyword"> const </span>{ </div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>        <span class="keywordflow">if</span> ( <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a936f25c06c90446d740dcbcc730a269c" title="is the degree a model parameter?">m_degreeIsParam</a> ) </div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>            <span class="keywordflow">return</span> 2; </div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span>        <span class="keywordflow">else</span> </div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>            <span class="keywordflow">return</span> 1;</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>    }</div>
</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>    <span class="comment"></span></div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span><span class="comment">    ///\brief creates the internal state of the kernel</span></div>
<div class="foldopen" id="foldopen00154" data-start="{" data-end="}">
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a6e19c738faff1a554846ece7327abb70">  154</a></span><span class="comment"></span>    boost::shared_ptr&lt;State&gt; <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#a6e19c738faff1a554846ece7327abb70" title="creates the internal state of the kernel">createState</a>()<span class="keyword">const</span>{</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span>        <span class="keywordflow">return</span> boost::shared_ptr&lt;State&gt;(<span class="keyword">new</span> InternalState());</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span>    }</div>
</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span><span class="comment"></span> </div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span><span class="comment">    /////////////////////////EVALUATION//////////////////////////////</span></div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span><span class="comment"></span>    <span class="comment"></span></div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span><span class="comment">    /// \f$ k(x_1, x_2) = \left( \langle x_1, x_2 \rangle + b \right)^n \f$</span></div>
<div class="foldopen" id="foldopen00161" data-start="{" data-end="}">
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a26c1a92f17f3a3cb153a1cf4dad1ac94">  161</a></span><span class="comment"></span>    <span class="keywordtype">double</span> <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#a26c1a92f17f3a3cb153a1cf4dad1ac94">eval</a>(<a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#acf26392888405951b6d965b14d98b8aa">ConstInputReference</a> x1, <a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#acf26392888405951b6d965b14d98b8aa">ConstInputReference</a> x2)<span class="keyword"> const</span>{</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(x1.size() == x2.size());</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>        <span class="keywordtype">double</span> base = inner_prod(x1, x2) + <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a>;</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>        <span class="keywordflow">return</span> std::pow(base,<a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a>);</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>    }</div>
</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>    </div>
<div class="foldopen" id="foldopen00167" data-start="{" data-end="}">
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a61d25c03ea68c30eb76867ae33555bbd">  167</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#a61d25c03ea68c30eb76867ae33555bbd">eval</a>(<a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#a0d2eaf940ab632809186774d1ccccfef">ConstBatchInputReference</a> batchX1,<a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#a0d2eaf940ab632809186774d1ccccfef">ConstBatchInputReference</a> batchX2, RealMatrix&amp; result)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(batchX1.size2() == batchX2.size2());</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span>        std::size_t sizeX1 = batchX1.size1();</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>        std::size_t sizeX2 = batchX2.size1();</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span>        result.resize(sizeX1,sizeX2);</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>        </div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>        <span class="comment">//calculate the inner product</span></div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>        noalias(result) = prod(batchX1,trans(batchX2));</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>        result += <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a>;</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>        <span class="comment">//now do exponentiation</span></div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>        <span class="keywordflow">if</span>(<a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a> != 1)</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span>            noalias(result) = pow(result,<a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a>);</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>    }</div>
</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>    </div>
<div class="foldopen" id="foldopen00181" data-start="{" data-end="}">
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a09efbca8f80e43abd8a6bd1cb600da63">  181</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#a09efbca8f80e43abd8a6bd1cb600da63">eval</a>(<a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#a0d2eaf940ab632809186774d1ccccfef">ConstBatchInputReference</a> batchX1, <a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#a0d2eaf940ab632809186774d1ccccfef">ConstBatchInputReference</a> batchX2, RealMatrix&amp; result, <a class="code hl_struct" href="structshark_1_1_state.html" title="Represents the State of an Object.">State</a>&amp; state)<span class="keyword"> const</span>{</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(batchX1.size2() == batchX2.size2());</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>        </div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span>        std::size_t sizeX1 = batchX1.size1();</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>        std::size_t sizeX2 = batchX2.size1();</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span> </div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>        InternalState&amp; s = state.<a class="code hl_function" href="structshark_1_1_state.html#a9847e65e063245c6b02371c8b84f8da3" title="Safely downcast State to it&#39;s derived type.">toState</a>&lt;InternalState&gt;();</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>        s.resize(sizeX1,sizeX2);</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span>        result.resize(sizeX1,sizeX2);</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span>        </div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span>        <span class="comment">//calculate the inner product</span></div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span>        noalias(s.base) = prod(batchX1,trans(batchX2));</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span>        s.base += <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a>;</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span>        </div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span>        <span class="comment">//now do exponentiation</span></div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span>        <span class="keywordflow">if</span>(<a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a> != 1)</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span>            noalias(result) = pow(s.base,<a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a>);</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span>        <span class="keywordflow">else</span></div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span>            noalias(result) = s.base;</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span>        noalias(s.exponentedProd) = result;</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>    }</div>
</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>    <span class="comment"></span></div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span><span class="comment">    /////////////////////DERIVATIVES////////////////////////////////////</span></div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span><span class="comment"></span>    </div>
<div class="foldopen" id="foldopen00205" data-start="{" data-end="}">
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a540870bc48d3e34c609f896e628c8bf6">  205</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#a540870bc48d3e34c609f896e628c8bf6">weightedParameterDerivative</a>(</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span>        <a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#a0d2eaf940ab632809186774d1ccccfef">ConstBatchInputReference</a> batchX1, </div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span>        <a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#a0d2eaf940ab632809186774d1ccccfef">ConstBatchInputReference</a> batchX2, </div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span>        RealMatrix <span class="keyword">const</span>&amp; coefficients,</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span>        <a class="code hl_struct" href="structshark_1_1_state.html" title="Represents the State of an Object.">State</a> <span class="keyword">const</span>&amp; state, </div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span>        RealVector&amp; gradient</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno">  211</span>    )<span class="keyword"> const</span>{</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno">  212</span>        </div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span>        std::size_t sizeX1 = batchX1.size1();</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span>        std::size_t sizeX2 = batchX2.size1();</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span>        gradient.resize(1);</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>        InternalState <span class="keyword">const</span>&amp; s = state.<a class="code hl_function" href="structshark_1_1_state.html#a9847e65e063245c6b02371c8b84f8da3" title="Safely downcast State to it&#39;s derived type.">toState</a>&lt;InternalState&gt;();</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span>        </div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span>        <span class="comment">//internal checks</span></div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(batchX1.size2() == batchX2.size2());</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(s.base.size1() == sizeX1);</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(s.base.size2() == sizeX2);</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(s.exponentedProd.size1() == sizeX1);</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(s.exponentedProd.size2() == sizeX2);</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span>        </div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span>        </div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span>        <span class="comment">//m_degree == 1 is easy</span></div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span>        <span class="keywordflow">if</span>(<a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a> == 1){<span class="comment">//result_ij/base_ij = 1</span></div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span>            gradient(0) = sum(coefficients);</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span>            <span class="keywordflow">if</span> ( <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a6877e2622378afb878f10bb20dee43f9" title="is the degree internally represented as exponential of the parameter?">m_unconstrained</a> ) </div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span>                gradient(0) *= <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a>;</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span>            <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span>        }</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span>        </div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span>        gradient(0) = <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a> * sum(safe_div(s.exponentedProd,s.base,0.0) * coefficients);</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span>        <span class="keywordflow">if</span> ( <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a6877e2622378afb878f10bb20dee43f9" title="is the degree internally represented as exponential of the parameter?">m_unconstrained</a> ) </div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno">  236</span>            gradient(0) *= <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a>;</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span>    }</div>
</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno">  238</span>    <span class="comment"></span></div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno">  239</span><span class="comment">    /// \f$ k(x_1, x_2) = \left( \langle x_1, x_2 \rangle + b \right)^n \f$</span></div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span><span class="comment">    /// &lt;br/&gt;</span></div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno">  241</span><span class="comment">    /// \f$ \frac{\partial k(x_1, x_2)}{\partial x_1} = \left[ n \cdot (\langle x_1, x_2 \rangle + b)^{n-1} \right] \cdot x_2 \f$</span></div>
<div class="foldopen" id="foldopen00242" data-start="{" data-end="}">
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a19aced1c84b714199b4d30ebd86b0656">  242</a></span><span class="comment"></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#a19aced1c84b714199b4d30ebd86b0656">weightedInputDerivative</a>( </div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span>        <a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#a0d2eaf940ab632809186774d1ccccfef">ConstBatchInputReference</a> batchX1, </div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span>        <a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#a0d2eaf940ab632809186774d1ccccfef">ConstBatchInputReference</a> batchX2, </div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span>        RealMatrix <span class="keyword">const</span>&amp; coefficientsX2,</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno">  246</span>        <a class="code hl_struct" href="structshark_1_1_state.html" title="Represents the State of an Object.">State</a> <span class="keyword">const</span>&amp; state, </div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno">  247</span>        <a class="code hl_typedef" href="classshark_1_1_polynomial_kernel.html#a7e8c12320edf40b81320d4c1eb64ee25">BatchInputType</a>&amp; gradient</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno">  248</span>    )<span class="keyword"> const</span>{</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno">  249</span>        </div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span>        std::size_t sizeX1 = batchX1.size1();</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno">  251</span>        std::size_t sizeX2 = batchX2.size1();</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno">  252</span>        gradient.resize(sizeX1,batchX1.size2());</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno">  253</span>        </div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno">  254</span>        InternalState <span class="keyword">const</span>&amp; s = state.<a class="code hl_function" href="structshark_1_1_state.html#a9847e65e063245c6b02371c8b84f8da3" title="Safely downcast State to it&#39;s derived type.">toState</a>&lt;InternalState&gt;();</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno">  255</span>        </div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span>        <span class="comment">//internal checks</span></div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno">  257</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(batchX1.size2() == batchX2.size2());</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno">  258</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(s.base.size1() == sizeX1);</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno">  259</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(s.base.size2() == sizeX2);</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno">  260</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(s.exponentedProd.size1() == sizeX1);</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno">  261</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(s.exponentedProd.size2() == sizeX2);</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno">  262</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(coefficientsX2.size1() == sizeX1);</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno">  263</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(coefficientsX2.size2() == sizeX2);</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno">  264</span>        </div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno">  265</span>        </div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno">  266</span>        <span class="comment">//again m_degree == 1 is easy, as it is for the i-th row</span></div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno">  267</span>        <span class="comment">//just c_i X2;</span></div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno">  268</span>        <span class="keywordflow">if</span>(<a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a> == 1){</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno">  269</span>            noalias(gradient) = prod(coefficientsX2,batchX2);</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno">  270</span>            <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno">  271</span>        }</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno">  272</span>        </div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno">  273</span>        <span class="comment">//first calculate weights(i,j) = coeff(i)*exp(i,j)/prod(i,j)</span></div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno">  274</span>        <span class="comment">//we have to take the usual division by 0 into account</span></div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno">  275</span>        RealMatrix weights = coefficientsX2 * safe_div(s.exponentedProd,s.base,0.0);</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno">  276</span>        <span class="comment">//and the derivative of input i of batch x1 is </span></div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno">  277</span>        <span class="comment">//g = sum_j m_n*weights(i,j)*x2_j</span></div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno">  278</span>        <span class="comment">//we now sum over j which is a matrix-matrix product</span></div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno">  279</span>        noalias(gradient) = <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a> * prod(weights,batchX2);</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno">  280</span>    }</div>
</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno">  281</span>    </div>
<div class="foldopen" id="foldopen00282" data-start="{" data-end="}">
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#aa672f4e0ffee8eded6e34d7c7f081636">  282</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#aa672f4e0ffee8eded6e34d7c7f081636" title="From ISerializable, reads a metric from an archive.">read</a>(<a class="code hl_typedef" href="namespaceshark.html#ada68729491840669e47c8ad42282424f" title="Type of an archive to read from.">InArchive</a>&amp; ar){</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno">  283</span>        ar &gt;&gt; <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a>;</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno">  284</span>        ar &gt;&gt; <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a>;</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno">  285</span>        ar &gt;&gt; <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a936f25c06c90446d740dcbcc730a269c" title="is the degree a model parameter?">m_degreeIsParam</a>;</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno">  286</span>        ar &gt;&gt; <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a6877e2622378afb878f10bb20dee43f9" title="is the degree internally represented as exponential of the parameter?">m_unconstrained</a>;</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno">  287</span>    }</div>
</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno">  288</span> </div>
<div class="foldopen" id="foldopen00289" data-start="{" data-end="}">
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#aa2e39b7ba4d4a02b1745ade3fd28181f">  289</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_polynomial_kernel.html#aa2e39b7ba4d4a02b1745ade3fd28181f" title="From ISerializable, writes a metric to an archive.">write</a>(<a class="code hl_typedef" href="namespaceshark.html#af4f8eb8e9618f5236b71bbcb12b8a524" title="Type of an archive to write to.">OutArchive</a>&amp; ar)<span class="keyword"> const</span>{</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno">  290</span>        ar &lt;&lt; <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a>;</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno">  291</span>        ar &lt;&lt; <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a>;</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno">  292</span>        ar &lt;&lt; <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a936f25c06c90446d740dcbcc730a269c" title="is the degree a model parameter?">m_degreeIsParam</a>;</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno">  293</span>        ar &lt;&lt; <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a6877e2622378afb878f10bb20dee43f9" title="is the degree internally represented as exponential of the parameter?">m_unconstrained</a>;</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno">  294</span>    }</div>
</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno">  295</span> </div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno">  296</span><span class="keyword">protected</span>:</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef">  297</a></span>    <span class="keywordtype">int</span> <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#adaca4b07daccd3516ea596f541944bef" title="exponent n">m_degree</a>;                <span class="comment">///&lt; exponent n</span></div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec">  298</a></span>    <span class="keywordtype">double</span> <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a5476a0b246cf2094167d4f50dafdb3ec" title="offset b">m_offset</a>;                      <span class="comment">///&lt; offset b</span></div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a936f25c06c90446d740dcbcc730a269c">  299</a></span>    <span class="keywordtype">bool</span> <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a936f25c06c90446d740dcbcc730a269c" title="is the degree a model parameter?">m_degreeIsParam</a>;                 <span class="comment">///&lt; is the degree a model parameter?</span></div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"><a class="line" href="classshark_1_1_polynomial_kernel.html#a6877e2622378afb878f10bb20dee43f9">  300</a></span>    <span class="keywordtype">bool</span> <a class="code hl_variable" href="classshark_1_1_polynomial_kernel.html#a6877e2622378afb878f10bb20dee43f9" title="is the degree internally represented as exponential of the parameter?">m_unconstrained</a>;                 <span class="comment">///&lt; is the degree internally represented as exponential of the parameter?</span></div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno">  301</span>};</div>
</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno">  302</span> </div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"><a class="line" href="namespaceshark.html#ac00959e57ceed802f82ac4b2baccb379">  303</a></span><span class="keyword">typedef</span> <a class="code hl_class" href="classshark_1_1_polynomial_kernel.html" title="Polynomial kernel.">PolynomialKernel&lt;&gt;</a> <a class="code hl_typedef" href="namespaceshark.html#ac00959e57ceed802f82ac4b2baccb379">DensePolynomialKernel</a>;</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"><a class="line" href="namespaceshark.html#a3228d5da0bcf8ca8dbb84c75d820373c">  304</a></span><span class="keyword">typedef</span> <a class="code hl_class" href="classshark_1_1_polynomial_kernel.html" title="Polynomial kernel.">PolynomialKernel&lt;CompressedRealVector&gt;</a> <a class="code hl_typedef" href="namespaceshark.html#a3228d5da0bcf8ca8dbb84c75d820373c">CompressedPolynomialKernel</a>;</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno">  305</span> </div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno">  306</span> </div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno">  307</span>}</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno">  308</span><span class="preprocessor">#endif</span></div>
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